{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial 10a - Custom Surface Types"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "nbsphinx-toctree"
    ]
   },
   "source": [
    "### September 2024"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This tutorial shows how new surface types can be defined and used in Optiland. In general, any surface geometry can be defined in Optiland, so long as the surface equation is defined and it is differentiable.\n",
    "\n",
    "To demonstrate this, we will generate a new surface that is defined by the following equation:\n",
    "\n",
    "$z(x, y) = \\frac{r^2}{R \\cdot (1 + \\sqrt{(1 - (1 + k) \\cdot r^2 / R^2)})} + ar^2 + br^3 + c\\sin(dr^2)$\n",
    "\n",
    "where\n",
    "\n",
    "- $x$ and $y$ are the local surface coordinates\n",
    "- $r = \\sqrt{x^2 + y^2}$\n",
    "- $R$ is the radius of curvature\n",
    "- $k$ is the conic constant\n",
    "- $a$, $b$, $c$ and $d$ are coefficients\n",
    "\n",
    "In this tutorial, we will generate a simple singlet lens whose first surface is defined by this equation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from optiland import optic\n",
    "from optiland.coordinate_system import CoordinateSystem\n",
    "from optiland.geometries import NewtonRaphsonGeometry\n",
    "from optiland.materials import IdealMaterial, Material\n",
    "from optiland.surfaces import Surface"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Introduction\n",
    "\n",
    "In Optiland, an optic is defined as a collection of sequential surfaces. Each surface can be defined by the following components\n",
    "\n",
    "- Geometry - the physical shape of the surface\n",
    "- Material (pre-surface) - the material before the surface\n",
    "- Material (post-surface) - the material after the surface\n",
    "- Physical aperture - optionally, we can specify obscurations on the surface, such as a hole in the surface center.\n",
    "- Interaction model - defines how rays interact with the surface and includes properties like:\n",
    "    - Whether surface is reflective, refractive, diffractive, or has some other behavior\n",
    "    - Coating - a coating can be applied to the surface\n",
    "    - Scatter model - a scatter model can be applied to the surface.\n",
    "\n",
    "In general, we also specify whether the surface is the aperture stop.\n",
    "\n",
    "In this tutorial, we will focus on only the geometry component."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Geometry Definition\n",
    "\n",
    "To create our custom surface, we will need to create a new geometry class that uses the surface equation defined above.\n",
    "\n",
    "We will start by inheriting from the \"NewtonRaphsonGeometry\" class. This class uses the Newton-Raphson method to find ray intersection points on the surface. We simply need to define the surface sag equation (from above) and the equation for the surface normal. Every geometry requires at least a coordinate system input, but we also want to include arguments for the radius of curvature, conic constant, and the coefficients."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We define the surface equation in the \"sag\" method and we define the surface normal in the \"_surface_normal\" method. Determining the surface normal involves finding the gradient of the surface equation:\n",
    "\n",
    "$f(x, y, z) = 0 = \\frac{r^2}{R \\cdot (1 + \\sqrt{(1 - (1 + k) \\cdot r^2 / R^2)})} + ar^2 + br^3 + c\\sin(dr^2) - z$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class NewGeometry(NewtonRaphsonGeometry):\n",
    "    def __init__(self, coordinate_system, radius, conic, a, b, c, d):\n",
    "        super().__init__(coordinate_system, radius, conic=0.0, tol=1e-10, max_iter=100)\n",
    "        self.a = a\n",
    "        self.b = b\n",
    "        self.c = c\n",
    "        self.d = d\n",
    "\n",
    "    def sag(self, x=0, y=0):\n",
    "        r2 = x**2 + y**2\n",
    "        z = r2 / (self.radius * (1 + np.sqrt(1 - (1 + self.k) * r2 / self.radius**2)))\n",
    "\n",
    "        # Here we add our new surface sag term, as defined above\n",
    "        r = np.sqrt(r2)\n",
    "        z += self.a * r + self.b * r**3 + self.c * np.sin(self.d * r2)\n",
    "\n",
    "        return z\n",
    "\n",
    "    def _surface_normal(self, x, y):\n",
    "        r2 = x**2 + y**2\n",
    "\n",
    "        # term for the standard conic surface\n",
    "        denom = self.radius * np.sqrt(1 - (1 + self.k) * r2 / self.radius**2)\n",
    "        dfdx = x / denom\n",
    "        dfdy = y / denom\n",
    "        dfdz = -1\n",
    "\n",
    "        # term for the new surface sag term\n",
    "        r = np.sqrt(r2)\n",
    "        with warnings.catch_warnings():\n",
    "            warnings.simplefilter(\"ignore\")\n",
    "            dfdx += (\n",
    "                self.a * x / r2\n",
    "                + 3 * self.b * x * r\n",
    "                + 2 * self.c * self.d * x * np.cos(self.d * r2)\n",
    "            )  # df/dx\n",
    "            dfdy += (\n",
    "                self.a * y / r2\n",
    "                + 3 * self.b * y * r\n",
    "                + 2 * self.c * self.d * y * np.cos(self.d * r2)\n",
    "            )  # df/dy\n",
    "\n",
    "        # we normalize the gradient to get the normal\n",
    "        mag = np.sqrt(dfdx**2 + dfdy**2 + dfdz**2)\n",
    "\n",
    "        nx = dfdx / mag\n",
    "        ny = dfdy / mag\n",
    "        nz = dfdz / mag\n",
    "\n",
    "        return nx, ny, nz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now define our geometry. We will create a coordinate system object at the origin, which coincides with the first surface vertex. We choose arbitrary values for the radius of curvature, conic constant and coefficients.\n",
    "\n",
    "Note: By definition, Optiland always defines the global origin at the vertex of the first surface."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "cs = CoordinateSystem(x=0, y=0, z=0, rx=0, ry=0, rz=0, reference_cs=None)\n",
    "new_geo = NewGeometry(\n",
    "    coordinate_system=cs,\n",
    "    radius=-513.7,\n",
    "    conic=0,\n",
    "    a=-7.043e-01,\n",
    "    b=6.622e-05,\n",
    "    c=2.142e-01,\n",
    "    d=-1.110e-02,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see what the surface looks like by plotting it in 3D."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-12, 12, 256)\n",
    "x, y = np.meshgrid(x, x)\n",
    "z = new_geo.sag(x, y)  # <-- get the z values for the surface from \"sag\" method\n",
    "\n",
    "# filter out points outside the aperture\n",
    "r2 = x**2 + y**2\n",
    "z[r2 > 12**2] = np.nan\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection=\"3d\")\n",
    "ax.plot_surface(x, y, z, cmap=\"viridis\")\n",
    "ax.set_xlabel(\"x\")\n",
    "ax.set_ylabel(\"y\")\n",
    "ax.set_zlabel(\"z\")\n",
    "ax.set_box_aspect(None, zoom=0.85)  # to avoid cutting off z label\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Surface Definition\n",
    "\n",
    "Now that we've defined our geometry, we also need to define the other components of our surface. In particular, we need to define the materials on each side of the surface. As this surface is the first surface of our system, the \"pre-surface\" material will simply be air and the \"post-surface\" material we will define as Schott SF2. There are other properties of the surface that can be added, such as coatings, scattering behavior, or physical apertures, but we will ignore these."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "material_pre = IdealMaterial(n=1.0)  # air\n",
    "material_post = Material(name=\"SF2\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now have all components needed to generate our surface. We will also specify this surface as the aperture stop.\n",
    "\n",
    "We omit the interaction model input, which results in the surface defaulting to a refractive component. See the API or docs on how to specify other interaction types."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "new_surface = Surface(\n",
    "    geometry=new_geo,\n",
    "    material_pre=material_pre,\n",
    "    material_post=material_post,\n",
    "    is_stop=True,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "nbsphinx-toctree"
    ]
   },
   "source": [
    "Lens definition\n",
    "\n",
    "We use the the Optiland class \"Optic\" to generate our lens. We pass the new surface to our optic at surface index 1, which is the first optical surface of our lens. As is typical, we define the aperture, field, and wavelength of our system. Note also that we specify the \"thickness\" of our surface as 15 mm. This means the distance from our custom surface to the following surface is 15 mm.\n",
    "\n",
    "Note: Care must be taken to assure that the custom surface is properly defined in the global coordinate system. Recall that the first surface is defined as the global origin in Optiland."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "lens = optic.Optic()\n",
    "\n",
    "# add surfaces\n",
    "lens.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "lens.add_surface(\n",
    "    index=1,\n",
    "    new_surface=new_surface,\n",
    "    thickness=15,\n",
    ")  # <-- new surface added here\n",
    "lens.add_surface(index=2, radius=-100, thickness=50)\n",
    "lens.add_surface(index=3)\n",
    "\n",
    "# add aperture\n",
    "lens.set_aperture(aperture_type=\"EPD\", value=25)\n",
    "\n",
    "# add field\n",
    "lens.set_field_type(field_type=\"angle\")\n",
    "lens.add_field(y=0)\n",
    "\n",
    "# add wavelength\n",
    "lens.add_wavelength(value=0.55, is_primary=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = lens.draw(num_rays=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "lens.draw3D()  # opens a new window, but we show a photo of the output below"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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    "<figure style=\"text-align: left;\">\n",
    "  <img src=\"../images/custom_surface.png\" alt=\"Singlet\" style=\"width: 700px;\">\n",
    "</figure>"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "While this lens form may not be particularly useful or practical, the concepts shown here can be used to define a surface with any desired geometry."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Conclusions\n",
    "\n",
    "- We demonstrated how a custom surface type can be created and added to an optical system in Optiland.\n",
    "- Creating a new surface type entails defining a new geometry, in which the surface sag equation and surface normal equation are defined.\n",
    "- Once the custom surface is defined, it can be used like any other surface in Optiland."
   ]
  }
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